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School of Mathematical Sciences

Mr Tim Davis


Postgraduate Research Student

Room Number: Mathematical Sciences Building, Room: MB-402


Tim is a third year PhD student who's research area is number theory. The specific area of interest is automorphic forms researching them both from a classical and adelic viewpoint. His supervisor is Prof Abhishek Saha and his PhD is funded through the Leverhulme Trust.

Before starting his PhD he studied at the University of Reading and received his MMath in 2019.

Tim is jointly one of the PhD representatives.


Spring 2022

  • Introduction to Algebra (TA)

Autumn 2021

  • Numbers, Sets and Functions (TA)
  • Number Theory (Marking)

Spring 2021

  • Introduction to Algebra (TA)

Autumn 2020

  • Linear Algebra 1 (TA)
  • Number Theory (Marking)

Spring 2020

  • Number Theory (Demonstrator & Marking)
  • Differential and Integral Analysis (Demonstrator & Marking)


Research Interests:

  • Classcial and higher rank modular forms
  • Representations of p-adic groups
  • Algebraic number theory

Tim's research is focussed on answering questions about the Fourier coefficients of classical modular forms and other families of modular forms. His current work is investigating the p-adic valuation of Fourier coefficients of classical modular forms. He has previously worked on studying some algebraic properties of the Fourier coefficients of Hilbert modular forms. 


  • Fourier coefficients of Hilbert modular forms at cusps, preprint, arXiv:2203.14096
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